Fundamental Solutions of Nonlocal Elastic Theory and Their Characteristics.

Abstract

In this paper we consider the general fundamental solutions and their characteristics of nonlocal elastic theory. The solutions are obtained by means of a simple method and a direct integral method. The simple method combines a power series of α and classical fundamental solutions. In the direct integral method, by assumping a nonlocal kernel α solutions can be obtained by integrating Fourier form. As an example, the results of nonlocal and classical solutions of point force for a two-dimensional infinite region are shown by graphycal representation.